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2225032680 = 2335131426303
BaseRepresentation
bin1000010010011111…
…0100110111101000
312202001210101000210
42010213310313220
514024102021210
61004442101120
7106065315513
oct20447646750
95661711023
102225032680
11a41a77a92
125211aa7a0
13295c876b0
14171715d7a
15d0513e20
hex849f4de8

2225032680 has 64 divisors (see below), whose sum is σ = 7188572160. Its totient is φ = 547699968.

The previous prime is 2225032669. The next prime is 2225032739. The reversal of 2225032680 is 862305222.

2225032680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711592 + ... + 714711.

It is an arithmetic number, because the mean of its divisors is an integer number (112321440).

Almost surely, 22225032680 is an apocalyptic number.

2225032680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2225032680 is an abundant number, since it is smaller than the sum of its proper divisors (4963539480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2225032680 is a wasteful number, since it uses less digits than its factorization.

2225032680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426330 (or 1426326 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2225032680 is about 47170.2520663182. The cubic root of 2225032680 is about 1305.5057771460.

The spelling of 2225032680 in words is "two billion, two hundred twenty-five million, thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1426303 2852606 4278909 5705212 7131515 8557818 11410424 14263030 17115636 18541939 21394545 28526060 34231272 37083878 42789090 55625817 57052120 74167756 85578180 92709695 111251634 148335512 171156360 185419390 222503268 278129085 370838780 445006536 556258170 741677560 1112516340 2225032680